8968752144 has 240 divisors, whose sum is σ = 27984191040. Its totient is φ = 2658754560.

The previous prime is 8968752139. The next prime is 8968752151. The reversal of 8968752144 is 4412578698.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15930007 + ... + 15930569.

It is an arithmetic number, because the mean of its divisors is an integer number (116600796).

Almost surely, 2^8968752144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8968752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992095520).

8968752144 is an abundant number, since it is smaller than the sum of its proper divisors (19015438896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8968752144 is a wasteful number, since it uses less digits than its factorization.

8968752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8968752144 is about 94703.4959439196. The cubic root of 8968752144 is about 2077.6736923335.

The spelling of 8968752144 in words is "eight billion, nine hundred sixty-eight million, seven hundred fifty-two thousand, one hundred forty-four".